document.write( "Question 150191: find the equation of the line through (4,3) perpendicular to the line 3x+y=7. \n" ); document.write( "
Algebra.Com's Answer #110214 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Step 1:
\n" ); document.write( "determine slope of:
\n" ); document.write( "3x+y=7
\n" ); document.write( "Subtracting 3x from both sides we get:
\n" ); document.write( "y = -3x +7
\n" ); document.write( "This happens to be in the \"slope-intercept\" form:
\n" ); document.write( "y = mx + b
\n" ); document.write( "where
\n" ); document.write( "m is slope
\n" ); document.write( "b is y-intercept
\n" ); document.write( ".
\n" ); document.write( "Now, we know the slope = -3
\n" ); document.write( ".
\n" ); document.write( "Step 2:
\n" ); document.write( "Determine slope of new line (perpendicular to first)
\n" ); document.write( "A line is perpendicular to another if their slopes are negative reciprocal:
\n" ); document.write( "Let m=new slope
\n" ); document.write( "(-3)m = -1
\n" ); document.write( "m = (-1)/(-3) = 1/3
\n" ); document.write( "Plug the above along with the given point of (4,3) into the \"slope intercept\" formula and solve for b:
\n" ); document.write( "y = mx + b
\n" ); document.write( "3 = (1/3)(4) + b
\n" ); document.write( "9 = 4 + 3b
\n" ); document.write( "5 = 3b
\n" ); document.write( "5/3 = b
\n" ); document.write( "Now, that you have 'm' and 'b' stuff it back into:
\n" ); document.write( "y = mx + b
\n" ); document.write( "To get your final answer:
\n" ); document.write( "y = (1/3)x + (5/3)
\n" ); document.write( "or
\n" ); document.write( "y = .33x + 1.67
\n" ); document.write( " \n" ); document.write( "
\n" );